6840400 has 90 divisors (see below), whose sum is σ = 19171950. Its totient is φ = 2338560.

The previous prime is 6840377. The next prime is 6840413. The reversal of 6840400 is 40486.

It can be written as a sum of positive squares in 3 ways, for example, as 906304 + 5934096 = 952^2 + 2436^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19426 + ... + 19774.

Almost surely, 2^6840400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9585975).

6840400 is an abundant number, since it is smaller than the sum of its proper divisors (12331550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6840400 is a wasteful number, since it uses less digits than its factorization.

6840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 6840400 is about 2615.4158369177. The cubic root of 6840400 is about 189.8280993691.

Adding to 6840400 its reverse (40486), we get a palindrome (6880886).

The spelling of 6840400 in words is "six million, eight hundred forty thousand, four hundred".